Living sperm whales are represented by only three species (Physeter macrocephalus, Kogia breviceps and Kogia sima), but their fossil record provides evidence of an ecologically diverse array of different forms, including morphologies and body sizes without analog among living physeteroids. Here we provide a redescription of Ontocetus oxymycterus, a large but incomplete fossil sperm whale specimen from the middle Miocene Monterey Formation of California, described by Remington Kellogg in 1925. The type specimen consists of a partial rostrum, both mandibles, an isolated upper rostrum fragment, and incomplete tooth fragments. Although incomplete, these remains exhibit characteristics that, when combined, set it apart morphologically from all other known physeteroids (e.g., a closed mesorostral groove, and the retention of enameled tooth crowns). Kellogg originally placed this species in the genus Ontocetus, a enigmatic tooth taxon reported from the 19th century, based on similarities between the type specimen Ontocetus emmonsi and the conspicuously large lower dentition of Ontocetus oxymycterus. However, the type of the genus Ontocetus is now known to represent a walrus tusk (belonging to fossil Odobenidae) instead of a cetacean tooth. Thus, we assign this species to the new genus Albicetus, creating the new combination of Albicetus oxymycterus, gen. nov. We provide new morphological observations of the type specimen, including a 3D model. We also calculate a total length of approximately 6 m in life, using cranial proxies of body size for physeteroids. Lastly, a phylogenetic analysis of Albicetus oxymycterus with other fossil and living Physeteroidea resolves its position as a stem physeteroid, implying that large body size and robust dentition in physeteroids evolved multiple times and in distantly related lineages.
Citation: Boersma AT, Pyenson ND (2015) Albicetus oxymycterus, a New Generic Name and Redescription of a Basal Physeteroid (Mammalia, Cetacea) from the Miocene of California, and the Evolution of Body Size in Sperm Whales. PLoS ONE 10(12): e0135551. https://doi.org/10.1371/journal.pone.0135551
Editor: Brian Lee Beatty, New York Institute of Technology College of Osteopathic Medicine, UNITED STATES
Received: April 22, 2015; Accepted: July 22, 2015; Published: December 9, 2015
This is an open access article, free of all copyright, and may be freely reproduced, distributed, transmitted, modified, built upon, or otherwise used by anyone for any lawful purpose. The work is made available under the Creative Commons CC0 public domain dedication
Data Availability: The original third-party 3D scan datasets of USNM 10923 (as well as USNM 329064), including .obj and .stl files, have been archived in Zenodo, https://zenodo.org/record/23029 <https://zenodo.org/deposit/43082/> (doi: 10.5281/zenodo.23029). The 3D models are also available for visualization and download at the Smithsonian X 3D website (http://3d.si.edu).
Funding: This work was supported by Vassar College (AB), and the NMNH Remington Kellogg Fund and Basis Foundation (NDP) (http://www.mnh.si.edu/). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.
Competing interests: NDP is an academic editor for PLOS ONE. This does not alter the authors’ adherence to PLOS ONE policies on sharing data and materials.
Abbreviations: USNM, Department of Paleobiology, National Museum of Natural History, Smithsonian Institution, Washington, District of Columbia, U.S.A.; LACM, Natural History Museum of Los Angeles County, Los Angeles, California, U.S.A.; BE-BVM, Bob Ernst collection, Buena Vista Museum of Natural History, Bakersfield, California, U.S.A.
Living sperm whales are represented by three species (Physeter macrocephalus Linneaus  Kogia breviceps Blainville  and Kogia sima Owen ) that are found throughout the world’s oceans. The species Physeter macrocephalus is the largest living toothed whale, with adults reaching approximately 18 m in length [4, 5]. Physeter macrocephalus also ranks among the deepest diving marine mammals , lives in complex social groups, and remains relatively abundant despite prolonged and geographically widespread eras of whaling . Physeter is the sister taxon to the living genus Kogia, represented by the much smaller pygmy sperm whales (Kogia breviceps), and the dwarf sperm whales (Kogia sima), which reach up to about 2.7 m and 3.5 m in length respectively . Together, Physeter and Kogia form the crown group Physeteroidea (sensu Velez-Juarbe et al. ), which can be distinguished from all other toothed whales (Odontoceti) by major morphological traits in the skull, including: a severe left (or sinistral) asymmetry of the bones in the dorsal narial region of the cranium, resulting in the loss of one or both of the nasals; and the presence of a large supracranial basin to house the spermaceti organ [4, 10–11].
Physeteroidea is consistently recovered as the first branching lineage of extant Odontoceti in molecular, morphological, and combined phylogenetic analyses (e.g., [12–15]). Some initial analyses of cetacean molecular data in the 1990s grouped sperm whales with baleen whales, to the exclusion of all other odontocetes, but this result is now regarded as spurious by all subsequent systematists and a case study in incorrect phylogenetic rooting [16–17]. Physeteroids are also among the oldest lineages of crown Cetacea, with the oldest putative fossil sperm whale, Ferecetotherium kelloggi Mchelidze , reported from the late Oligocene of Azerbaijan [4, 18–19]. The Neogene fossil record of this group is taxonomically diverse, with multiple species of physeteroids found in contemporaneous fossil cetacean assemblages (e.g. ), representing a range of body sizes between Kogia spp. and Physeter. Many fossil Physeteroidea retain upper teeth and enamel apices [21–24] while taxa more closely related to Physeter have reduced or vestigial upper teeth without enamel, such as Aulophyseter morricei Kellogg [3, 25]. Many fossil physeteroid taxa have been described on the basis of questionably diagnostic isolated fragments of specimens, including teeth and vertebrae, and are therefore considered incertae sedis [26–27].
This paper aims to redescribe Ontocetus oxymycterus Kellogg , a large fossil sperm whale described from the Monterey Formation of Santa Barbara County, California, U.S.A (Fig 1). The type specimen consists of an incomplete rostrum, and isolated fragment of the upper rostrum, both mandibles with some large dental roots, and several isolated, but associated incomplete teeth (Fig 2). Kellogg  tentatively referred the species to the genus Ontocetus, based primarily on its large, conspicuous teeth, which he thought resembled Ontocetus emmonsi Leidy , a tooth taxon from the Neogene of North Carolina  (Fig 3).
A, a map of the state of California, showing Santa Barbara County and a box indicating the 2015 United States Geological Survey 7.5 minute topographic map for Santa Barbara Quadrangle, used for B and C. B, a general outline of the vicinity, showing the city of Santa Barbara, with major highways, Santa Barbara Point, and the type locality. Dashed box indicates the area in C, a map of the coast around the type locality, with the location of the original Santa Barbara lighthouse, using a modified basemap from the USGS topographic map (available at http://usgs.gov). Isobars are 50 meters, and cartographic north for all panels points to the top.
A, the rostrum and mandibles together in ventral view, B in dorsal view, C in right lateral view, D in anterior view, and E in posterior view.
Illustration by Joseph Leidy of the type specimen of Ontocetus emmonsi (USNM 329064) (left), published by Emmons , who described the material as originating from “the older Miocene of White River [which] has furnished remarkable animals remains …[among] these remains ruminants are particularly worthy of note.… The Cetacean, Fig 187 (2), is a remarkable form of tooth for this family—having a resemblance to the canine of the Hippopotamus." This illustration is contrasted with an isolated tooth from Albicetus oxymycterus (USNM 10923) (right), with the layers of the dentition labeled. Scale bar measures 5 cm. A 3D model of the type specimen Ontocetus emmonsi is now available for viewing and download on the Smithsonian X 3D website (http://3d.si.edu).
The type specimen of Ontocetus emmonsi (now USNM 329064) is represented by a single, large, laterally compressed, tusk-like tooth, which was originally deposited in 1860 at Williams College, Williamstown, Massachusetts, and was first reported in a textbook illustration by Emmons . The same year, Leidy  formally designated this specimen as the holotype of Ontocetus emmonsi (Fig 3). Although the exact provenance of this tooth is unknown, Leidy  mentioned “miocene [sic] deposits of North Carolina,” likely communicated to him by Emmons. The type specimen (USNM 329064) is incomplete, but it exhibits long, thick, and cambered striae of dentine, with a subrectangular outline in transverse section (Fig 3). These features are utterly absent from all known physeteroid teeth, which are typically conical towards the apex, cylindrical in transverse section, and gibbous towards the root.
With these traits in mind, Leidy  later suggested that Ontocetus emmonsi represented either a “cetacean like the Sperm Whale,” or “perhaps to a walrus-like animal.” Brandt  similarly designated the type species as a toothed whale, but concurred with Leidy’s alternative identification (see Spamer et al. , for a detailed bibliographic history). Although Matsumoto , Shikama et al.  and Okazaki  reported cetacean fossil material from Japan belonging to this species, all other recent authors have thoroughly discounted any cetacean affinities to the type specimen Ontocetus emmonsi. Ray , Kohno and Ray , Boessenecker and Churchill , and Churchill et al. , among others, have all confirmed the odobenid identity of Ontocetus emmonsi. The genus Ontocetus remains a valid stem odobenid taxon, with additional species yet to be named and described .
Following this realization, Kohno and Ray  provisionally regarded Ontocetus oxymycterus as belonging to the genus Scaldicetus de Bus , a cosmopolitan fossil physeteroid distinguished primarily by enamel capped and gibbous teeth . However, this recommendation is unsatisfactory, as the genus Scaldicetus is a form taxon representing a number of isolated teeth  that may or may not belong to a single physeteroid taxon [22–23]. Moreover, the type specimen of Ontocetus oxymycterus exhibits a number of diagnostic morphological characters, including proportionately large dentition (relative to rostral size), retention of tooth enamel, and a closed mesorostral groove, which combined distinguish it from all other described physeteroid genera. Because the type species of Ontocetus is not a cetacean, we propose a new generic name, Albicetus, for the species of Ontocetus oxymycterus , and provide a redescription of the type specimen, along with body size estimates and a phylogenetic analysis to resolve its relationship and evolutionary context among Physeteroidea.
Materials and Methods
For specimens observed, see S1 Table.
No permits were required for the described study because the material was collected from an undocumented locality between 1879 and 1909.
1. 3D digitization procedures
The rostrum and mandibles section that comprise the main parts of USNM 10923 measure almost 1 m in the longest dimension and weigh over 100 kg, requiring at least four adults to manipulate and move it (Fig 2). These daunting logistics for morphological comparisons make it challenging to study all the standard anatomical views and any oblique angles. Thus, we collected three-dimensional datasets of its surface topology using an Artec Eva structured light scanner (Artec Group, Palo Alto, California), scanning at 8 frames per second. These datasets were then compiled in Geomagic version 2012 (3D Systems, Rock Hill, South Carolina) and the free software Meshlab to render a 3D surface model of the type specimen, including the main rostrum and mandibles section, as well as the separated isolated upper rostrum fragment, and an isolated tooth fragment with tooth enamel (Fig 4). The size and density of the bone and matrix for the specimen block containing the rostrum and mandibles exceeds the abilities of industrial x-ray computed tomography facilities, and thus a 3D surface model permitted us to observe the specimen from angles that would have otherwise been impossible. We did however, CT scan a small isolated tooth fragment exposing part of the enamel cap in a Nikon Metrology 225kV microfocus CT scanning system at Chesapeake Testing (Belcamp, Maryland). The 3D models are available for manipulation, visualization, sharing and download through the public data repository Zenodo https://zenodo.org/record/23029 <https://zenodo.org/deposit/43082/> (doi:10.5281/ zenodo.23029) as well as through the Smithsonian X 3D website (http://3d.si.edu).
A, rostrum and mandibles in oblique anterior-left lateral view, B, isolated upper rostrum fragment in posterior view, and C, isolated tooth fragment with enamel cap. Scale bars measure 5 cm. The 3D model is accessible through the Smithsonian X 3D website (http://3d.si.edu).
2. Body size estimates
We used two methods to estimate the condylobasal length and total length of Albicetus. Since the type specimen of Albicetus lacked other skull measurements needed for partial least squares (PLS) mulivariate regression equations, both approaches used a bivariate ordinary least squares (OLS) linear regression with antorbital notch width as a single body length proxy . The antorbital notch was not preserved on the left side of the rostrum, and thus we collected this measurement by measuring from the right side of the specimen, and then doubled it for a minimum estimate of the antorbital notch width (also often referred to as width at rostrum base) (See S2 Fig for a visual guide to measurements). The antorbital notch is not preserved in its entirety in the type specimen, and the measurement therefore likely corresponds to a level just slightly anterior to the antorbital notch, though we refer to it as antorbital notch width in this paper.
The first method used a bivariate OLS linear regression to plot condylobasal length for 36 specimens of extant and fossil physeteroids, including Physeter macrocephalus, Kogia breviceps, Kogia sima, Aulophyseter morricei and Orycterocetus crocodilinus Cope  (see S4 Table of condylobasal lengths). The trend line for this regression produced an equation to estimate the condylobasal length of Albicetus, based on the antorbital notch width of USNM 10923. We then calculated the total length of Albicetus using a bivariate OLS linear regression by plotting total length against condylobasal length for specimens with associated total length data (only Kogia and Physeter specimens). The equation from this latter regression, along with the estimated condylobasal length of Albicetus from the first regression, provided the basis for calculating an estimated total length for Albicetus. The second method was similar to the first, except that we subtracted rostrum length from condylobasal length, and condylobasal length from total length, respectively, as the y-axis values, to account for varying rostrum lengths in specimens (see a similar approach in Lambert et al. ).
3. Phylogenetic analysis
To assess the phylogenetic relationships of Albicetus, we undertook a phylogenetic analysis using a matrix of 42 morphological characters, edited by Velez-Juarbe et al.  from Lambert et al.’s  original description of Livyatan melvillei Lambert et al. . We added one additional character to this matrix, which allowed us to code for the mesorostral groove being open (ancestral state), partially open at the level of the antorbital notches (as in the case of Brygmophyseter Kimura et al. , Aulophyseter, and Scaphokogia Muizon ), or roofed over at the level of the antorbital notches as in Albicetus, with the premaxillae angled downward into the midline, creating a trough down the middle of the rostrum (derived state). The addition of Albicetus made a total of 21 operational taxonomic units in the analysis. The Miocene physeteroids from Patagonia, including Idiorophus patagonicus, Diaphorocetus poucheti and 'Aulophyseter' rionegrensis, were not added to the matrix. These taxa are fragmentary and poorly described, and thus would not have provided reliable characters to add to the matrix. The cladistic search was performed on PAUP* , using all characters as unordered. First, we performed a heuristic search using the tree bisection-reconnection (TBR) algorithm. We then conducted subsequent statistical support analyses by searching for successively longer trees to calculate decay indices and 100 bootstrap replicates. The complete matrix and description of character states (S2 and S3 Tables) are available in the Supplementary Information material.
4. Nomenclature acts
The electronic edition of this article conforms to the requirements of the amended International Code of Zoological Nomenclature, and hence the new names contained herein are available under that Code from the electronic edition of this article. This published work and the nomenclatural acts it contains have been registered in ZooBank, the online registration system for the ICZN. The ZooBank LSIDs (Life Science Identifiers) can be resolved and the associated information viewed through any standard web browser by appending the LSID to the prefix “http://zoobank.org/”. The LSID for this publication is: urn:lsid:zoobank.org:pub:828C6915-3AA2-45AE-99C0-E97E7F6E1A0A. The electronic edition of this work was published in a journal with an ISSN, and has been archived and is available from the following digital repositories: PubMed Central, and LOCKSS.
1. Systematic paleontology
CETACEA, Brisson 
PAN-PHYSETEROIDEA, Velez-Juarbe et al. 
Albicetus oxymycterus, new combination, urn:lsid:zoobank.org:act:0A979799-2E74-4C2E-9E23-8940A036AE18,
Type and only known species: Albicetus, nov. gen., oxymycterus
Etymology: Combining the Latin words albus (white) and cetus (whale). The name pays tribute to H. Melville ’s classic American novel Moby-Dick; or, The Whale. In the novel, Melville refers to Moby-Dick as “the White Whale”, a creature of “unwonted magnitude” with a “remarkable hue” and “deformed lower jaw” . These traits are coincidentally similar to the type specimen of Albicetus, a white fossil sperm whale whose jaws have been displaced due to diagenetic processes, providing apt inspiration for the connection to the famous literary whale.
Age: Same as that of the only known species.
Diagnosis: Same as that of the only known species.
Illustrated with a low opacity mask and interpretive line art. Tooth fragments retained in the alveoli are emphasized with a nearly opaque white layer. To view the 3D model of the specimen, visit the Smithsonian X 3D website at (http://3d.si.edu).
Illustrated with a low opacity mask and interpretive line art. From top: A, left lateral, B, ventral, and C, right lateral views Abbreviations: d indicates dorsal direction, l indicates left lateral, a indicates anterior, p indicates posterior, r indicates right lateral. aI1 indicates first incisor alveoli, ac1 indicates first canine alveoli, apc1 indicates first post-canine alveoli, dr indicates alveolus with dental root. The mandibles (ma), maxillae (mx) and premaxillae (pmx) are all labeled accordingly. Tooth fragments in alveoli are emphasized with a nearly opaque white layer. To view the 3D model of the specimen, visit the Smithsonian X 3D website at (http://3d.si.edu).
Illustrated with a low opacity mask and interpretive line art. Tooth fragments retained in alveoli are emphasized with a nearly opaque white layer. Abbreviations: d indicates dorsal direction, l indicates left lateral, a indicates anterior, aI,, indicates incisor alveolus, ac1 indicates first canine alveoli, apc1 indicates first post-canine alveoli, dr indicates alveoli with dental roots. To view the 3D model of the specimen, visit the Smithsonian X 3D website at (http://3d.si.edu).
Illustrated with a low opacity mask and interpretive line art. Tooth fragments retained in alveoli are emphasized with a nearly opaque white layer. To view the 3D model of the specimen, visit the Smithsonian X 3D website at (http://3d.si.edu).
Illustrated with a low opacity mask and interpretive line art. a indicates anterior direction, r indicates right lateral direction. The line of dashed line emphasizes the asymmetry in the premaxillae. The dotted line delineates the premaxillary (pmx) sac fossae, which are also asymmetrical. To view the 3D model of the specimen, visit the Smithsonian X 3D website at (http://3d.si.edu).
Illustrated with a low opacity mask and interpretive line art. To view the 3D model of the specimen, visit the Smithsonian X 3D website at (http://3d.si.edu).
Measurements for main rostrum segment, right mandible, and upper rostrum fragment of Albicetus oxymycterus (USNM 10923), in centimeters.
Measurements for alveoli in right mandible of Albicetus oxymycterus (USNM 10923), in millimeters.
Holotype: USNM 10923, the incomplete extremity of the rostrum and mandibles, with 10 or 11 roots or portions of teeth in situ in each mandible, several incomplete teeth fragments found loose in the matrix, and a separate piece of the upper rostrum. Archival typewritten notes at USNM state that the specimen was first observed by Charles O. Roe (1867–1923) when he was a boy, and was collected by him some thirty years later in 1909, implying an initial discovery as early as 1879. These notes are consistent with Kellogg ’s report about the type specimen’s discovery around 1884, and it being subsequently moved to Roe’s home in 1909. The specimen was received by USNM on 16 February 1924 from Roe’s wife, after his death in 1923 .
Etymology: According to Kellogg , oxymycterus derives from the Greek words oxy (sharp) and mycter (nose).
Type locality: The type specimen was collected approximately 3.5 meters above the high tide line of a sea cliff approximately 20 m in height, north or near the original Santa Barbara Lighthouse, Santa Barbara, Santa Barbara County, California, U.S.A. (N 34° 20'12", W 119° 43'20" according to Kellogg) . Archival typewritten notes at USNM indicate that the “exact locality is between the [original Santa Barbara] lighthouse and Hope Ranch,” and that “[other] parts of the skeleton are still in the bank.” Hope Ranch today is a residential community of approximately 1,600 acres, but in the late 19th century it was a large private property until the Southern Pacific Railroad purchased it for development in January 1876. Actual development on the terrain did not begin until 1923 . It was likely during this period of time between purchase and development that C. A. Roe collected the type specimen (1879–1909), since the property lines of Hope Ranch abutted the original Santa Barbara Lighthouse.
The original Santa Barbara Lighthouse, however, was destroyed in an earthquake on 29 June 1929 , and Kellogg ’s published coordinates correspond to a location about 5 km directly south of the original lighthouse, offshore in Santa Barbara Bay. The published locality account by Kellogg  corresponds today to sea cliffs located near the property of the current lighthouse , which is 100 m northeast of the original lighthouse, at the following coordinates (N 34° 23' 44", W 119° 43' 23"). We argue that this general vicinity, within less than a 100 m radius, likely represents the type locality of Albicetus oxymycterus (Fig 1).
Formation: Kellogg  described the stratigraphic provenance of the type specimen of Albicetus as a unit of bituminous dolomite in the sea cliffs of Santa Barbara County, likely belonging the Monterey Formation. This description is consistent with Minor et al.’s  geologic mapping of the Santa Barbara Coastal Plain, which at the reported locality shows the underlying lowest three subunits of the marine siliceous and calcareous mudstone and shale belonging to the Monterey Formation. These marine rocks are mapped as the lower calcareous unit of the Monterey Formation . Overlying marine terrace deposits of Pleistocene age in this area do not match the lithology of the matrix with USNM 10923.
Age: Minor et al.  summarized biostratigraphic findings for lower calcareous unit outcrops of the Monterey Formation in the Santa Barbara Coastal Plain. Benthic foraminiferal assemblages point to Relizian to Saucesian stages, and calcareous nannofossil zones CN1-CN5, with ages generally tending to be younger in the northwestern localities, and older heading to the southeast. For Santa Barbara Point, a locality less than 1 km due east of original Santa Barbara Lighthouse, Minor et al.  reported benthic foraminiferal assemblages consistent with Relizian and Luisian Stages of Kleinpell [56–57] and calcareous nannofossils of lower middle Miocene zone CN4. These data constrain the age of the type specimen of Albicetus to the early middle Miocene (~16–14 Ma), or Langhian.
Diagnosis: Albicetus is a large odontocete (about 6 m in total length) that belongs in Physeteroidea based on the following features: large, single-rooted upper and lower teeth, with a ratio of condylobasal length to greatest tooth diameter greater than 0.03; anterior elongation of the premaxillae onto the rostrum; sinistral asymmetry of the posterior processes of the premaxillae; and a posterior section of the rostrum that is wide and relatively flat. Albicetus differs from all other known physeteroid genera in the following combination of character states: retention of enameled lower tooth apices with longitudinal striations; large lower and upper teeth with a ratio of condylobasal length to greatest tooth diameter of approximately 0.05; a mesorostral groove completely roofed over at the level of the antorbital notches; and the premaxillae angled downward into the midline, creating a trough down the middle of the rostrum.
The type specimen (USNM 10923) consists of an incomplete skull that includes a partial rostrum and incomplete mandibles, with a number of isolated tooth fragments also found in the surrounding matrix (Figs 2 and 5–10). Much of the area between the ventral surface of the rostrum and the mandibles is filled with very dense, heavy, and nearly aphanitic grey sediments. These sediments severely hinder any ability to further prepare matrix from bone, which is poorly differentiated from the surrounding matrix. The teeth are also especially soft and chalky, which hinders any further mechanical preparation. The specimen itself is extremely heavy, and the bones of the type specimen are heavily mineralized. The cortical surfaces are also extremely weathered and eroded, likely mostly from exposure as the specimen protruded from the cliff face, which lasted at least a couple decades. These wear patterns are too extreme to differentiate primary weathering from abrasion via transport, or other diagenetic effects . Almost all the bone has been permineralized or replaced by phosphatization in deep-sea sediments, and, in some cases, the original shape of the bone is difficult to distinguish from the surrounding matrix, especially along in posterior view of the rostrum, where it contacts the mandibles.
The left mandible shows the remains of 10 dental roots from teeth that have been fragmented through diagenesis, while the right has 11 (Fig 6A and 6C). The type specimen also includes an isolated fragment of the upper rostrum, which was not described by Kellogg  (Figs 9–11). This triangular fragment is composed of premaxillae, maxillae, and vomer, although it does not have direct, patent contact with the large rostrum.
A, dorsal view of main rostrum section and upper rostral fragment. Dotted line indicated hypothesized non-direct connection between the main section and fragment. B, anterior view of upper rostral fragment and C, posterior view of main rostrum section. Both have a dotted line indicating the similarity between the transverse profiles of the vomer and mesorostral groove.
Though sutures are indistinct, they appear to be closed. This, in combination with the size of the teeth and retention of dental roots in the mandibles, suggest that the specimen belonged to a mature whale.
Most of the specimen is composed of the rostrum, measuring 81.9 cm along the midline from the anterior termination of the preserved rostrum to a level slightly anterior of the antorbital notches (Fig 5). The slight tapering, the extent of the preserved mandibles displaced anterior relative to the rostrum (Fig 6), and the presence of an alveolar root on the anterior extremity of the right mandible (Fig 7), all suggest that the anterior termination of the rostrum is real. The rostrum is laterally compressed anteriorly, but it gradually widens towards the posterior along the maxilla, until it suddenly flares out laterally at the level anterior to the antorbital notches (based on similar dorsal profiles in other fossil physeteroids such as Aulophyseter and Orycterocetus) (Table 1). In posterior view, the dorsal surface of the maxillae curve ventrally from their line of contact with the premaxillae to the lateral margins, suggesting that the supracranial basin is not anteriorly elongated (Fig 8). Dorsally, the rostrum is composed primarily of the premaxillae and maxillae, and transverse sections of the vomer are visible in posterior view. All of the surfaces of premaxillae and maxillae are heavily eroded, with the cortical bone completely worn away. The right side of the rostrum is better preserved than the left as it reaches further posterior, therefore most of the descriptions of the premaxillae and maxillae are based on this side. Both right and left premaxillae and maxillae show some equivocal evidence for upper alveoli (see Dentition, below, for more remarks).
In dorsal view, the premaxillae dominate the majority of the rostrum, alone forming the anterior ~30% of the rostrum (Fig 5). The premaxilla-maxilla suture is about 27.4 cm posterior from the anterior tip of the rostrum, where the premaxillae measure 20.7 cm wide. Anterior to the premaxillae-maxillae suture, the premaxillae narrow in width to the tip of the rostrum, and maintain approximately the same width from the suture to the posterior end of the specimen. Although sutures are indistinct, the right and left premaxillae meet at the midline for the entirety of the preserved rostrum, roofing over the mesorostral groove (visible in posterior, transverse section (Fig 8). No premaxillary foramen is visible on either premaxilla. In lateral view, the premaxillae gradually thin dorsoventrally from the anterior extremity to the posterior end of the rostrum (Fig 6A and 6C). In posterior view, the premaxillae shows a slightly arched profile, angling downwards towards the midline to create a trough down the middle of the rostrum (Fig 8). On this portion of the rostrum, there is no patent asymmetry in the dimensions of the right and left premaxillae (see description of isolated rostral fragment for further discussion of asymmetry).
In dorsal view, the maxillae are most narrow where they meet the premaxillae, 27.4 cm from the anterior tip (Fig 5). From this level, the maxillae gradually widen until the posterior of the rostrum, where they rapidly expand laterally to a width of at least 14 cm from its medial margin (as measured from the right maxilla) along the maxillary flange (sensu Mead and Fordyce [42: 62]). Based on comparison to other fossil physeteroids, this is just anterior to the antorbital notch. In lateral view, the maxillae increase in dorsoventral depth from the premaxilla-maxilla suture towards the base of the rostrum (Fig 6A and 6C). In posterior view, the maxillae underlie the premaxillae, meeting the latter dorsally, though this relationship may be due to increased erosion further from the midline (Fig 8). From the lateral margin in posterior view, the maxillae curve dorsally towards the midline to meet the premaxillae.
The mesorostral groove is not visible in dorsal view, being completely sealed over by the premaxillae (Fig 5). In posterior view, the vomer forms the floor of this basin, along with the lateral walls of the mesorostral groove (Fig 8). Though it is unclear whether the mesorostral groove was ossified; in posterior view, it is now filled with sediment, and was dorsoventrally low in life, as in living Physeter. See description of the isolated rostral fragment for more on the vomer and mesorostral groove further posterior to the antorbital notch.
The mandibles are both incomplete, but they preserve the entire mandibular symphysis, along with mandibular rami 15 cm posterior of the symphysis. Although the extremities of both mandibles end abruptly, the anterior orientation of the anterior-most alveoli (likely incisors) suggests that the type specimen preserves most of the anterior portion of the mandibles in life (Fig 7). The orientations of the right and left mandibles are not preserved in life position, especially relative to the anatomical planes of the overlying rostrum (Fig 5). From 57.8 cm posterior of their anterior tips, the right and left mandibles are disarticulated, exposing the symphyseal plate along the medial surfaces of the right mandible, whereas the counterpart surface on the left mandible remains covered in sediment (Fig 7). Both mandibles are also displaced anteriorly relative to the overlying rostrum, so that they extend past the tip of the rostrum (Fig 5). In dorsal view, the mandibles have also been rotated outwards, so that the alveoli face dorsolaterally and the medial surfaces of the mandibles face the ventral surface of the rostrum. The dorsal curvature of the preserved anterior margins of the mandibles, along with the anterior orientation of terminal alveoli, suggest that, in life, the mandibles had a lateral profile that gradually curved dorsally along the symphysis to the anterior tip, however there is the possibility that this morphology is diagenetic from sediment compaction and deformation (Fig 6A and 6C). There is no evidence of the presence of mental foramina on either mandible.
The right mandible retains evidence of 11 alveoli, while the left retains evidence of 10 (Fig 6). Both mandibles are heavily eroded on the ventral side. The rami of the mandibles, posterior of the symphysis, remain laterally flattened at the level of the base of the rostrum. Although the bone is very difficult to separate from matrix at visual inspection, we suspect that the dorsal rise of the mandibles at this level (Fig 2E, Fig 6B) possibly represents the beginning of the acoustic pan bone region. Given all of the aforementioned observations, we propose that the majority of the mandibles are indeed preserved with the rostrum.
In ventral view, numerous black, branching, and likely phosphatized infilled canals about 2–3 cm wide, extend along the ventral surface of the mandibles (Fig 6B). Ostensibly, these features are exposed from erosion of the overlying cortical bone, and likely represent branches of the mandibular canal. In life, these branches would have once housed nerves and the inferior alveolar arteries connecting to alveoli of the lower dentition, although to date there are only published descriptions of cranial and postcranial sperm whale arterial systems to evaluate this notion, with no particular detail on physeteroid mandibles . Towards the posterior end of the mandibles, there is a patent posteroventral boss on the right mandible, implying the termination of the symphysis in life.
Isolated rostral fragment.
Included with the type specimen is a large cranial fragment that was collected in the surrounding matrix, representing a posterior portion of the rostrum separate from the skull and mandible block (Figs 9 and 10). This fragment measures 39.5 cm down its anteroposterior length, narrowing from 25 cm wide at its anterior end to 16.5 cm at its posterior termination (Fig 9). Although it does not have a patent contact with the larger portion of the rostrum, the plane of the anterior breakage is subtransverse, and we suspect it would have articulated within 5–25 cm of a gap with the larger portion (Fig 11). The fragment consists of the premaxillae along the dorsal surface, showing putative premaxillary sac fossae, overlying sediment infilling the mesorostral groove, and finally, along the ventral side, a thin layer of vomer and maxillae along the lateral aspect. The narrowing of the premaxillae and maxillae posteriorly suggests that both are incomplete laterally.
In dorsal view, there are no premaxillary foramina visible (Fig 9). The right and left premaxillae of the fragment are asymmetrical, with the left premaxillary sac fossa showing a more elongate outline in dorsal view (around 17 cm lengthwise) and being displaced anteriorly by about 10 cm relative to the right one (around 14 cm lengthwise) (Fig 9). This asymmetry is consistent with the sinistral displacement of skulls bones near the narial opening in physeteroids [15,16, 22]. The dorsal surfaces of the premaxillae are slightly concave and eroded, but towards the posterior end more cortical bone is visible grading through to the underlying maxillae. Ventrally, the vomer bridges the right and left premaxillae and maxillae via the mesorostral groove, which is mostly filled with a thick layer of matrix (Fig 10). At this level posterior, the mesorostral groove is open, separating the premaxillae by 9 cm at the anterior end and 6 cm and the posterior end. We can therefore say that the mesorostral groove was roofed over by the premaxillae from the antorbital notches anterior to the tip of the rostrum as seen in the main rostrum fragment (Fig 5), but that the mesorostral groove opens within 5–25 cm posterior of the antorbital notches (Fig 11).
Kellogg [28,60] argued that Albicetus very clearly possessed upper dentition, and we agree with these observations, although they require a careful reading of the available morphological evidence of the type specimen to dissuade immediate skepticism. First, Kellogg  noted that premaxillae both housed three upper alveoli, a eutherian trait inherited by all odontocetes. The clearest evidence for anterior-most alveoli, corresponding to I1, can be observed on the left premaxilla, which shows a deep, broad arc along its anterolateral margin infilled with sediment (approximately 8 cm in diameter) (Fig 2D). There is no evidence for a tooth or tooth root at this position. The right premaxilla is heavily eroded, but most clearly shows an alveolus where I3 would be located, which was already deeply excavated by manual preparation in 1924. This extends nearly 10 cm in diameter, just anterior to the level of the premaxilla-maxilla suture on this side (Fig 12). Both the alveoli at I1 on the left premaxilla and I3 on the right premaxilla would have been oriented ventrally, though I1 may also have been tilted slightly anterior. A small plate of bone, ostensibly belonging to an alveolar septum between the right I2 and I3, is visible in a lateral profile on this side (Fig 12). The inference of any other upper alveoli in the premaxillae is otherwise difficult to ascertain.
Right lateral close up of septal bone material retained in the third premaxillary incisor alveoli (A) of Albicetus oxymycterus (USNM 10923), and a illustration of the same area with a low opacity mask and interpretive line art (B). Scale bar measures 10 cm in both A and B.
Kellogg [28,60] also indicated that 8 alveoli were present in the “distal end” of each maxilla, and he argued that as many as 18 upper teeth would have been present in life. The evidence for upper alveoli in the maxillae is difficult to pinpoint in lateral view, as Kellogg  noted, given the diagenetic wear to the specimen. However, a regular scalloped pattern suggesting alveoli can be observed along the lateral margin of the maxillae, with a more prominent pattern on the right side than the left (Fig 12). Despite the poor condition of the bony surface of the rostrum, the visible morphology of the lateral margin of the maxillae is largely consistent with much better preserved fossil physeteroids, such as Acrophyseter deinodon Lambert et al. , which shows a similar pattern with in situ upper dentition . At close inspection, clear septa separate the anterior-most alveoli of the right maxilla, especially for C1 (first canine) and PC1 and PC2 (post-canines 1 and 2) (Fig 12). At most, we count 6 alveoli for the upper right maxilla, and no more than 5 alveoli for the upper left maxilla, all oriented ventrally and with diastema of at least 1 cm between each (Fig 6A and 6C).
Assuming that 3 alveoli were present in each premaxilla, the maximum upper tooth count was 9 teeth, per quadrant, consistent with Kellogg’s  estimate of “18 or more teeth carried in each jaw.” There are, however, no intact upper teeth, nor intact preserved upper tooth roots visible in the rostrum of Albicetus. Medium to large size fossil physeteroids (e.g., Acrophyseter, Livyatan Lambert et al. ) are now known with conspicuous upper dentition and alveoli [5,21,61] that broadly matches their lower dentition in size and morphology. This may have been the case in Albicetus, as the size of the upper alveoli is on a similar scale as the lower alveoli (Fig 12). We also note that all of the intact and isolated teeth share similar size ranges with intact lower dentition. Kellogg  argued that the isolated teeth fragments found with the specimen belong to the upper dentition, having fallen out of the rostrum due to gravity during decay. We cannot confirm this argument, since the surviving fragments of isolated teeth found with the specimen neither connect with the matrix surrounding the rostrum, nor with any of the existing surfaces of the lower dentition. It is possible that Albicetus possessed slightly smaller upper dentition, in the trend of vestigial upper dentition in some fully mature Physeter males , but the rostrum of Albicetus is simply too large and dense for any currently available x-ray computed tomography technology to non-destructively penetrate and conclusively reveal upper dentition in the matrix ventral to the rostrum.
The lower alveoli in the mandibles of Albicetus are very large, occupying more than half the lateral width of the mandible. The transverse sections of the alveoli along the mandibular border are more ovate towards the anterior end of the mandibles, and more circular posteriorly, likely indicating that the anterior-most teeth were more obliquely oriented than the posterior teeth (Fig 6A and 6C). Most of the alveoli are filled with matrix, but several retain tooth roots. These alveoli have matrix filled in around the roots around 1–2 cm in thickness, suggesting that, in life, the gum tissue would have actively kept the teeth rooted in the alveoli. Each alveolus is distinct from one another, with spacing ranging from virtually none to 3.7 cm.
Several incomplete teeth, currently free of sediment, were reportedly collected in the matrix surrounding the rostrum specimen by Kellogg , and almost all are missing tooth crowns and apical tips. These teeth are large, measuring up to 20.5 cm in length (with the crown missing) and up to 8 cm in diameter. In cross-section, they are composed of an internal cone of ossified dentine surrounded by a thick layer of cementum.
Kellogg  noted the presence of a “third mandibular tooth…[that] broke away from the end of the root in the mandible at the time the specimen was removed from the sea cliff [and] measures 153 mm. in length.” This specimen was not illustrated in either of Kellogg publications [28, 50], and we have not been able to match any of the surviving isolated teeth with broken teeth in any of the anterior tooth positions of the mandible. Although the illustrated tooth in plate 9 of Kellogg  is suggestive of enamel apices for the teeth of Albicetus, the details of the enamel cap are poorly reproduced. Among the surviving material, we did observe two teeth still embedded in small bits of matrix that retain their tips, and show enameled crowns (Fig 13). The enamel clearly shows coarse, longitudinal striations (Fig 13). The crown has a length of 2.3 cm and the enamel is around 1 mm thick. No constriction of the neck is present below the crown, where the tooth measures 6.5 cm in diameter (Fig 13).
Both show remnants of enamel tooth caps with coarse, longitudinal striations. Other isolated tooth fragments found with the specimen were too fragmentary to warrant illustration, with the exception of the tooth fragment shown in Fig 15. To see the 3D model of the enameled tooth (A), visit the Smithsonian X 3D website at (http://3d.si.edu).
3. Body size estimates results
The two methods of bivariate OLS regressions used to calculate condylobasal length and total length of USNM 10923 produced an estimated body size for each measurement, with the first method providing a lower bound estimate, and the second method providing an upper bound estimate. The first regression calculated condylobasal length (126.8 cm) using an antorbital notch width of 49.4 cm with the following equation (Fig 14A):
A, condylobasal length from 36 fossil and extant physeteroids against antorbital notch width, to estimate a condylobasal length for Albicetus. B, condylobasal length against total body length, to estimate a total length for Albicetus. C and D follow the same methods as graphs A and B respectively, but take into account varying rostrum lengths.
Our second regression for condylobasal length, taking into account variable rostrum length, produced the following equation (Fig 14C): Method 2, Eq 1
With this equation, we used the preserved rostrum length of 81.9 cm to calculate a condylobasal length of 144.4 cm, yielding a presumed upper bound estimate for this measurement. We then used each CBL estimate to calculate a total length (TL) for Albicetus, using a specimen-based dataset grounded in corresponding skull and field measurements for living Physeter and Kogia spp. Our lower bound TL estimate was calculated as follows, using our first CBL estimate, yielding 592.2 cm (Fig 14B): Method 1, Eq 2
We generated an upper bound TL estimate by using antorbital notch width and our second CBL estimate, and similarly taking into consideration variable rostrum length, with the following equation (Fig 14D): Method 2, Eq 2
This latter equation yielded a total length of 627.1 cm. Thus, our estimated condylobasal length of USNM 10923 is between 126.8 cm and 144.4 cm, and our estimated total length is between 592.2 cm and 627.1 cm. We used condylobasal length estimates (proxies for total length) for all of the cetacean taxa (see S4 Table) as trait values and mapped them on the consensus tree, using squared change parsimony . These total length trait values were categorized by color at regular intervals, providing the basis for visualizing the evolution of body size among different lineages of physeteroids, including Albicetus (Fig 15).
The left tree shows the phylogeny with black bars corresponding to the stratigraphic ranges of each taxon. Arrows on the end of black bars indicate lower confidence in stratigraphic boundaries. The right tree shows the evolution of body size in physeteroids, mapping condylobasal length as a proxy for total length, binned by 6 color values.
4. Phylogenetic analysis results
The phylogenetic analysis produced a strict consensus tree of 15 trees with a tree length of 100, consistency index of 0.585, and retention index of 0.715. In the consensus tree, Albicetus was placed among stem Physeteroidea, forming a polytomy with Livyatan, all crown-ward pan-physeteroids, and all crown physeteroids (Fig 15). The bootstrap values range from 85 for Physeteroidea without the outgroups of Zyghorhiza and Agorophius Cope , to 52 for the clade of Zygophyseter+Brygmophyseter. Kogiidae as a whole received a bootstrap value of 58, with Kogia breviceps+Kogia sima receiving a value of 77 (See S1 Fig for a phylogenetic tree with bootstrap values). Overall, these statistics suggest low support for the relationships recovered in our analysis, although our results are consistent with previous work (e.g., ).
1. Redescription of the type specimen of Albicetus oxymycterus
Our redescription of USNM 10923 differs from the original description by Kellogg  in the addition of a description of the separate posterior rostral fragment, body size estimates (Fig 14), and a phylogenetic analysis. We also expanded on the two photos of the specimen in Kellogg’s publications with a suite of descriptive Figs (Figs 5–13), including a 3D model (Fig 4), a skeletal reconstruction (Fig 16), and a phylogenetic tree mapping the evolution of body size among the Physeteroidea (Fig 15). Our description likely contrasts most strongly with Kellogg’s in the observations of the upper dentition. In Livyatan, Acrophyseter, and Brygmophyster—all stem physteroids—the large upper teeth in the proximal region are set in from the lateral margin of the maxillae by at least a couple centimeters [21, 61, 65]. In the case of Acrophyseter, there is even evidence of extra bony outgrowths along the alveoli in the maxillae acting as buttresses to support large upper teeth . None of these features are preserved or present in Albicetus, with the ventrolateral margins of the maxillae in lateral view showing semi-circular indentations along the margin consistent with alveoli (Fig 12). We do not think that these indentations are the result of mechanical preparation (by C. A. Roe or perhaps USNM staff) in search of teeth or alveoli, although some of the alveoli (e.g., right C1) are certainly excavated of any infilled sediment, as opposed to others (e.g., left I1). Some of the preserved morphology may have formed during diagenesis, as the mandibles were forced apart and rotated laterally or outwards by compaction or gravity and the weight of the overlying rostrum pressed down on the mandibles. For example, in right lateral view, the posterior lower teeth directly abut the ventral surface of the maxilla, forming semi-circular indentations (see Figs 6C and 12), which appear to show little morphological distinction between bones belonging to the upper versus lower alveoli. As noted above, it is unclear whether the surviving isolated teeth collected in association with the type specimen belong to the upper or lower dentition, although Kellogg  maintained the former.
2. Morphological comparisons among physeteroids
The fossil physeteroid that most resembles Albicetus in general size, shape, and characteristics is Aulophyseter morricei (holotype USNM 11230), described by Kellogg  from the Sharktooth Hill bonebed of the middle Miocene Round Mountain Silt, in California. The largest known skulls of A. morricei are on a similar scale as Albicetus, with the midline length of the rostrum reaching 121.2 cm and the antorbital notch width estimated at 58.7 cm in BE 7791/1, the largest known specimen of this taxon. The premaxillae of A. morricei are similar to that of Albicetus, making up most of the rostrum and dominating the distal end. As with Albicetus, the premaxillae widen posterior from the tip to the premaxilla-maxilla suture, and then maintain a similar width further posterior in dorsal view (Fig 5). A. morricei has the mesorostral groove roofed over by the premaxillae for most of the length of the rostrum, as in Albicetus. However, in Aulophyseter, the mesorostral groove opens anterior to the antorbital notches. This situation differs from Albicetus, where the mesorostral groove opens posterior to the antorbital notches. In lateral view, the maxillae in A. morricei narrow from the posterior end to the premaxilla-maxilla suture where they are narrower than the premaxillae, similar to Albicetus (Fig 6A and 6C). From the premaxilla-maxilla suture in dorsal view, the maxillae flare out laterally towards the antorbital notches, but the widening directly anterior to the antorbital notches in A. morricei is not as pronounced as in Albicetus (Fig 5). The maxillae of A. morricei, which curve ventrally towards the midline to meet the premaxillae, also differ from the maxillae of Albicetus, which curve dorsally towards the midline. The concave shape of the maxillae in A. morricei forms the lateral wall of the anteriorly elongated supracranial basin, a feature that is not suggested in Albicetus due to the convexity of the maxillae (Fig 8).
Kimura et al.  pointed out that the teeth referred to A. morricei by Kellogg  in his original description were too large to fit into the alveolar grooves on the palate of the referred skulls. Kimura et al.  identified them as not sperm whale teeth, but as teeth belonging to desmatophocid pinnipeds, likely Allodesmus spp., which are abundantly represented in the same lithologic unit, including with cranial remains [39–40]. Kimura et al.  provided the first evidence for the real tooth morphology of A. morricei by illustrating a single isolated tooth associated with a diagnostic left mandible (LACM 42816), from the same lithologic horizon, which shares morphological similarities with the holotype. The associated tooth, which has a comparatively small diameter, lingual curvature, and lacks enamel, also fits directly into the small alveoli of this specimen. Therefore, despite cranial similarities, Aulophyseter and Albicetus possess starkly different dentition.
In their paper identifying Ontocetus emmonsi as an extinct walrus, Kohno and Ray  transferred Ontocetus oxymycterus to the fossil sperm whale genus Scaldicetus, in line with Kellogg’s  favorable comparison. However, Scaldicetus is a form taxon that is recognized from many different taxa possessing skull fragments with isolated teeth showing the hallmark apical caps of rugose enamel with gibbous roots. The inferred upper and known lower dentition of Albicetus is broadly similar to other physeteroid taxa possessing dentition of the Scaldicetus morphotype. For example, a fossil sperm whale from the Miocene of Japan originally named Scaldicetus shigensis Hirota and Barnes  represents one of the more complete physeteroids possessing dentition of the Scaldicetus morphotype. Kimura et al.  later redescribed this specimen and moved it to a new genus Brygmophyseter (this latter genus name has priority over Naganocetus Bianucci and Landini , which was published one month after Kimura et al. , despite being accepted for publication prior to the submission of the manuscript by Kimura et al. ). Albicetus differs from Brygmophyseter in having premaxillae that gradually expand posteriorly and lacking laterally crested maxillae that incline medially on the anterior portion of the rostrum to form a continuous surface with the premaxillae. Instead, the maxillae on Albicetus incline dorsomedially to meet the premaxillae, which then are convex towards the midline. Although the premaxillae in Brygmophyseter closely appress and roof over the mesorostral groove in the anterior portion of the rostrum, the premaxillae are not fused medially.
None of the diagnostic features used to distinguish Albicetus as a new genus (such as the roofed over mesorostral groove, presence of upper teeth and enameled tooth caps) are unique to the genus. However, it is the specific combination of these features seen in Albicetus that sets it apart from any of the other fossil physeteroid genera. In comparison to other stem and crown Physeteroidea, Albicetus is most comparable in size only to Zygophyseter and Brygmophyseter. It is smaller than Physeter and Livyatan, but larger than all living and fossil pan-kogiids (sensu ), and fossil physeteroids such as Acrophyseter, Orycterocetus and stem-ward taxa. Albicetus differs from Livyatan and Physeter in lacking an elongated supracranial basin on the rostrum . The premaxillae of Albicetus are wider than the maxillae at points in dorsal view, differing it from Placoziphius Van Beneden [66–67]. Albicetus differs from Physeterula Van Beneden 1877  in having maxillae visible in dorsal view for more than 50% of rostral length, and possessing absolutely (and proportionately) much larger teeth . Albicetus differs from Acrophyseter in lacking a deep, longitudinal groove on the right premaxilla along the rostrum, and in lacking a less pronounced dorsal curvature of the rostrum and mandibles . Albicetus differs from Zygophyseter in having a wider rostrum in the anterior portion . Although the dentition of Albicetus is known from only fragmentary teeth, it is overall similar in general morphology with Livyatan, yet Albicetus differs from Livyatan in having the distal end of the rostrum delineated only by the premaxillae, and having a rostrum laterally concave along the anterior portion . In comparison to Orycterocetus, Albicetus differs in its retention of enamel, the lack of constriction of more than half of the rostrum anteriorly, and a roofing over of the mesorostral groove . Albicetus differs from all Physeteroidea except Aulophyseter, Brygmophyseter, and Scaphokogia in having a mesorostral groove roofed over by the premaxillae .
The fossil pan-physeteroids represented in Lambert et al. 's study, which formed the basis for our phylogenetic analysis of Albicetus, are almost entirely Northern Hemisphere taxa. This sampling is largely a consequence of historiography, attributable to the prolonged interest in and study of fossil sperm whales near the major centers of learning in Europe, the United States, and Japan. By contrast, there are several South American pan-physeteroids from early Neogene strata that are worthy of renewed study, especially Idiorophus patagonicus (Kellogg ), Diaphorocetus poucheti (Ameghino ) and 'Aulophyseter' rionegrensis (Gondar ), among others. Based on existing descriptions, Idiorophus and Diaphorocetus appear to represent pan-physeteroids with small-toothed and relatively slender rostral morphologies, similar to Orycterocetus in the Northern Hemisphere and very different from Albicetus. Cozzuol  referred 'Aulophyseter' rionegrensis to a new genus in an unpublished dissertation, suggesting that the complete skull upon which this species is based does not represent Aulophyseter. The specimen has teeth of a much smaller diameter in comparison to Albicetus.
Given the bathyal paleodepth for the depositional environment represented in the lower calcareous unit of the Monterey Formation in the Santa Barbara Coastal Plain, it is reasonable to conclude that the source whale for the type specimen of Albicetus died at sea, and sank to the seafloor in a distal shelf setting. Such deep-sea environments are where the majority of whalefalls have been discovered since 1977 . Also, the Monterey Formation has produced fossil whalefalls elsewhere in California , in similarly bathyal depositional environments as the inferred type locality for Albicetus. While there is no evidence of bioerosion, bioencrustation or an associated invertebrate fauna with the type specimen of Albicetus, it is not entirely clear whether such a community might be expected for a physeteroid whalefall, even at the presumed paleodepth for the type specimen's depositional environmental, since reported modern sperm whalefalls derive from experimental, emplaced carcasses .
In his initial description, Kellogg  argued that the type specimen of Albicetus likely decayed substantially prior to burial, resulting in tooth crowns broken off from teeth still in their alveoli and upper teeth that “[dropped] out of the alveoli in the upper jaws after the skull was covered with sediments as several were found in the matrix.” Although there are no documented modern analogs in cetaceans, this pathway of decay is entirely feasible, given the weight of the individual teeth. While there are no data recorded by Roe or Kellogg about the articulation of the postcranium in the type specimen, the clean break of the proximal end of the rostrum suggests that the skull had been intact before burial. This contention is also supported by the articulation of both mandibles to the skull in near-life position. It is likely that the source carcass, or at least the cranium and mandibles, reached the seafloor in articulation. It also appears that the weight of the rostrum provided sufficient force to displace the mandibles prior to burial.
It is unknown whether more of the skeleton of Albicetus still remains in the sea cliffs at the type locality near the original Santa Barbara Lighthouse. Regardless, it is almost certain that any remaining skeletal material would have been eroded away, now over a century later. Moreover, the lack of specific locality information makes it impossible to relocate the exact spot from which the specimen was extracted. If the skeleton remained relatively well articulated in the cliff face, it would suggest that the observed preservation arose from one or more factors, including rapid burial, quiet conditions and/or limited scavenging .
4. Body size & phylogeny
Kellogg  provided an initial estimate of 4 to 5 meters for the length of the complete skull of Albicetus, perhaps based mostly on general appearances, which was closer to our calculation for the full body length rather than the condylobasal length. Based on crania from other fossil physeteroids, we judged our estimated reconstructed condylobasal length as relatively robust, although the discovery of more complete material will surely provided a better basis for this evaluation. Our estimated total length for Albicetus (TL = 5.9–6.3 m) is smaller than Livyatan and Physeter, but within the size range for other stem physeteroids such as Brygmophyseter.
Lindberg and Pyenson  argued that the evolution of echolocation in odontocetes was an ecological adaptation for pursuing abundant pelagic prey at depth, such as diel-migrating cephalopods. Under this evolutionary scenario, the innovation of echolocation was an escalation response to deep-diving prey behaviour, culminating in an evolutionary arms race of body size increases for both the deepest diving odontocetes and their prey, which include the largest known cephalopods . Large body size appears to confer several selective benefits for deep-diving in marine mammals , although there are likely other physiological and even molecular mechanisms underlying this convergent trait . Given this hypothesis, we would expect to see phylogenetic trends towards increasing body size to extant Physeter, although our findings (Fig 15) show a different pattern.
First, large body size in physeteroids (i.e., total lengths >6 m) was achieved by the mid Miocene, and among different lineages (e.g., Albicetus, Brygmophyseter, Livyatan) in the Langhian and Serravallian, and then again in the late Miocene with Zygophyseter and Physeterula . No fossil or extant kogiids attained such sizes, and remained generally within the same size range for their entire clade history, despite morphological changes to their supracranial basin . Among fossil physeteroids with large body size, all show both functional upper and lower dentition. Aulophyseter, which is smaller than all of the aforementioned taxa, does not have upper alveoli, and it is the sister taxon to extant Physeter, which is the largest physeteroid ever, and similarly lacks functional upper dentition. The occurrence of functional upper and lower dentition in many of the largest fossil physeteroids led Lambert et al.  to suggest that hypercarnivory (and in particular, predation of marine mammals) was a primary driver for large body size in these lineages, as opposed to deep diving. This hypothesis specifically posits that the middle Miocene provided a peak in richness for marine mammals , the presumed prey items. Albicetus fits the pattern of this hypothesis, as a large pan-physeteroid with functional upper and lower dentition from the middle Miocene. However, beyond qualitative characterization of feeding morphology, more data (e.g., isotopic analyses of physeteroid tooth enamel) would provide better support for this contention.
Nonetheless, the co-occurrence of multiple large, putatively hypercarnivorous physeteroids in the middle Miocene, as opposed to the singular teuthophagous Physeter alive today (with comparatively small Kogia spp.), points to unusual structuring in Miocene marine communities that have no analogs in today’s oceans, where hypercarnivory is rare . Also, the unusual composition of mid Miocene physeteroid communities provides yet another instance in the marine mammal fossil record where extant diversity provides a poor guide for clade history, and vice versa .
Our trait mapping of body size (using condylobasal length) on our consensus tree also revealed that most pan-physeteroids were larger than pan-kogiids, although Livyatan and Physeter represent two independent excursions, at separate geological times, to extremely large cranial size (and overall body size) (Fig 15). Albicetus, by comparison, falls within the size range of Brygmophyseter, Aulophyseter and other large-size fossil physeteroids. As previously mentioned, the Langhian appears to represent a time of unusual richness in stem physeteroids that overlapped in stratigraphic range within about 3 million years, and, in some cases, shared ocean basins (e.g., Brygmophyseter, Aulophyseter, and Albicetus all in the North Pacific Ocean). Given their similar body sizes, future investigations might examine how stem physeteroids with putative ecological overlap might have partitioned their resources, in a similar fashion to the ecomorphological and body size structuring of fossil sirenian assemblages in the Cenozoic  and, potentially, stem Mysticeti in the Oligocene .
We provided new information about an enigmatic fossil sperm whale from the Miocene of California, Albicetus oxymycterus, for which we provided a new genus name because of taxonomic priority of its original name with a fossil walrus. Our redescription of the type specimen of Albicetus provides new morphological details, along with revisions to the stratigraphy and locality data, as can best be ascertained given the available historical information. We provided a phylogenetic analysis to determine the relationship of Albicetus to other fossil sperm whales, along with body size estimates. Our results indicate that Albicetus was a large, stem physeteroid with a seemingly unique combination of diagnostic features observed in no other living or fossil physeteroid.
S1 Fig. Phylogenetic tree with bootstrap values for Physeteroidea.
S2 Fig. Measurement diagram.
Diagram of measurements taken from the main rostral section and isolated upper rostral fragment from the holotype of Albicetus oxymycterus (USNM 10923).
S1 Table. Specimens Observed.
Fossil marine mammal specimens observed during the writing of this publication.
S2 Table. Matrix constructed in Mesquite for Physeteroidea including Albicetus.
0, primitive state; 1, 2, 3, derived states; 0/1, a variable between 0 and 1; 1/2 a variable between 1 and 2; 1/3, a variable between 1 and 3;?, missing character or taxon not coded for this character.
S3 Table. Character state descriptions.
Following Velez-Juarbe et al. 
S4 Table. Table of condylobasal lengths of the Physeteroidea taxa.
All approximated (~) measurements are estimates based on fragmentary material. For, Agorophius, Thalassocetus and Praekogia (denoted by *), estimated CBL were collected from cetacean genera of similar sizes (Simocetus for Agorophius, Kogia breviceps for Thalassocetus, and Praekogia for Nanokogia). Each substituted taxon, in these cases, shares similar skull proportions (e.g., bizygomatic width), even if there are differences in rostral morphology, or other features. Therefore, we think such proxy taxa are justified, given that they do not alter the ultimate size bin in which these taxa belong.
This manuscript formed the basis for an honors thesis by A. B. in the Department of Earth Sciences at Vassar College. A. B. thanks the faculty of the department, particularly M. Kosloski, J. Walker, and K. Menking for their unwavering guidance and support. We are indebted to D. J. Bohaska and L. G. Barnes, who both provided valuable historical insights and warm encouragement for the redescription of the type specimen herein. We are grateful for the support of the NMNH Imaging, including the late D. Hurlbert, J. Di Loreto, B. Hance, K. N. Quarles, who helped with the demanding photography of the type specimen, along with the logistical support of D. J. Bohaska, P. Kroehler, S. Jabo, A. M. Valenzuela-Toro, and M. T. Carrano. We also thank H. Little, J. Blundell, A. Metallo, V. Rossi, and the Smithsonian Institution’s Digitization Program Office 3D Lab, for technical advice, expertise, and access to equipment. Chesapeake Testing (Belcamp, Maryland) provided access and resources for microCT scanning, and we thank C. Peitsch, R. Peitsch, and C. Schueler for help. We also thank J. Velez-Juarbe, who provided crucial discussion and assistance, especially at that directly the conclusion of this project, and for access to valuable unpublished data. N. D. P. thanks the Smithsonian Institution and its Remington Kellogg Fund for support, along with funding from the Basis Foundation.
Conceived and designed the experiments: AB NDP. Performed the experiments: AB NDP. Analyzed the data: AB NDP. Contributed reagents/materials/analysis tools: AB NDP. Wrote the paper: AB NDP.
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